Dynamics of regular birational maps in P^k

Mathematics – Dynamical Systems

Scientific paper

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17 pages, to appear in J. Funct. Analysis

Scientific paper

We develop the study of some spaces of currents of bidegree (p,p). As an
application we construct the equilibrium measure for a large class of
birational maps of P^k as intersection of Green currents. We show that these
currents are extremal and that the corresponding measure is mixing.

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